# Chapter 18 - Nuclear Chemistry - Questions for Review and Thought - Topical Questions - Page 817b: 32

4.0 years

#### Work Step by Step

After one half-life, the radioactive isotope decays to 50% of its radioactivity. After 2 half-lives, it decays to 25% of its radioactivity and after 3 half-lives it decays to 12.5% of its radioactivity. $\implies$ 3 half-lives=12 years or 1 half-life= 4.0 years.

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